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Simplifying (6x + 44) + (-10x + 65) = 117 Reorder the terms: (44 + 6x) + (-10x + 65) = 117 Remove parenthesis around (44 + 6x) 44 + 6x + (-10x + 65) = 117 Reorder the terms: 44 + 6x + (65 + -10x) = 117 Remove parenthesis around (65 + -10x) 44 + 6x + 65 + -10x = 117 Reorder the terms: 44 + 65 + 6x + -10x = 117 Combine like terms: 44 + 65 = 109 109 + 6x + -10x = 117 Combine like terms: 6x + -10x = -4x 109 + -4x = 117 Solving 109 + -4x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-109' to each side of the equation. 109 + -109 + -4x = 117 + -109 Combine like terms: 109 + -109 = 0 0 + -4x = 117 + -109 -4x = 117 + -109 Combine like terms: 117 + -109 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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